Finding the Fourth Proportional to 1,009.49, 1,513.43 and 522.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009.49 : 1,513.43 = 522.28 : x
2. Step 2: Convert to fraction form
   1,009.49/1,513.43 = 522.28/x
3. Step 3: Cross multiply
   1,009.49x = 1,513.43 × 522.28
4. Step 4: Simplify right side
   1,009.49x = 790,424.04
5. Step 5: Solve for x
   x = 790,424.04/1,009.49
6. Step 6: Final answer
   x = 782.99